CN111829477A - Method and device for calculating negative clearance of hub bearing, storage medium and equipment - Google Patents

Method and device for calculating negative clearance of hub bearing, storage medium and equipment Download PDF

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Publication number
CN111829477A
CN111829477A CN202010715863.2A CN202010715863A CN111829477A CN 111829477 A CN111829477 A CN 111829477A CN 202010715863 A CN202010715863 A CN 202010715863A CN 111829477 A CN111829477 A CN 111829477A
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hub bearing
negative
clearance
inner ring
bearing
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CN111829477B (en
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田助新
葛海岸
李波
梅松
葛志华
杨建交
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Hubei New Torch Technology Co ltd
XY-HUST ADVANCED MANUFACTURING ENGINEERING RESEARCH INSTITUTE
Hubei University of Arts and Science
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Hubei New Torch Technology Co ltd
XY-HUST ADVANCED MANUFACTURING ENGINEERING RESEARCH INSTITUTE
Hubei University of Arts and Science
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/16Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring distance of clearance between spaced objects

Abstract

The invention provides a method, a device, a storage medium and equipment for calculating a negative clearance of a hub bearing, which comprise the following steps: acquiring displacement parameters of an inner ring of the hub bearing to be tested when an external force F is applied to an inner flange of the hub bearing to be tested; acquiring displacement parameters of an inner ring of the hub bearing with zero initial clearance when the external force F is applied to an inner flange of the hub bearing with zero initial clearance; according to F, Ac1And Ac02And calculating to obtain the negative clearance value of the hub bearing to be measured. The invention calculates the negative clearance value according to the relationship among the applied external force, the displacement of the inner ring of the hub bearing to be detected and the displacement of the inner ring of the hub bearing with zero initial clearance, can detect the negative clearance value before the hub bearing to be detected leaves the factory, and has reproducible detection result and high accuracy.

Description

Method and device for calculating negative clearance of hub bearing, storage medium and equipment
Technical Field
The invention relates to the technical field of bearing negative clearance, in particular to a method and a device for calculating the wheel hub bearing negative clearance, a storage medium and equipment.
Background
The negative clearance parameter is one of the key factors determining the performance of the hub bearing unit, and the reasonableness of the design and processing of the negative clearance parameter directly affects the service life of the hub bearing unit and the running safety of the whole vehicle, so that it is necessary to perform negative clearance detection on the finished product of the hub bearing unit and use the detection result as one of the indexes for judging whether the hub bearing is qualified or not. The conventional negative clearance detection on the finished product of the hub bearing unit does not have repeated detection on the same product, cannot realize the detection reproducibility, and cannot reflect the actual condition of the negative clearance of the finished product of the hub bearing because the detection is the detection before riveting.
Disclosure of Invention
The invention mainly aims to provide a method for calculating the negative clearance of a hub bearing, and aims to solve the technical problem that the hub bearing cannot be detected on line in real time and repeatedly.
In order to achieve the above object, the present invention provides a method for calculating a negative clearance of a hub bearing, comprising the following steps:
obtaining a displacement parameter A of an inner ring of the hub bearing to be tested when an external force F is applied to an inner flange of the hub bearing to be testedc1
Obtaining a displacement parameter A of an inner ring of the hub bearing with zero initial clearance when the external force F is applied to an inner flange of the hub bearing with zero initial clearancec02
According to F, Ac1And Ac02And calculating to obtain the negative clearance value of the hub bearing to be measured.
Optionally, the negative clearance value of the hub bearing to be measured is:
Figure BDA0002596992240000021
in the formula, the Sigma rho is a curvature function of the steel ball contact, the E is a comprehensive parameter of the Poisson's ratio and the elastic modulus of the bearing material, the alpha is a steel ball contact angle,*is a point contact ellipse integral parameter, and n is the number of steel balls.
In addition, in order to achieve the above object, the present invention further provides a control device for a hub bearing negative clearance, including a memory, a processor, and a measurement program of a calculation method for a hub bearing negative clearance stored in the memory and operable on the processor, the measurement program of the calculation method for a hub bearing negative clearance being configured to implement the steps of the calculation method for a hub bearing negative clearance according to any one of claims 1 to 2.
Furthermore, in order to achieve the above object, the present invention further proposes a storage medium having stored thereon a measuring program of a method of calculating a negative hub-bearing play, the measuring program of the method of calculating a negative hub-bearing play being stored on the storage medium and being executed by a processor to implement the steps of the method of calculating a negative hub-bearing play according to any one of claims 1 to 2.
Further, to achieve the above object, the present invention also proposes a detecting apparatus of a negative play of a hub bearing, comprising:
detecting an apparatus main body;
the loading device is fixedly arranged on the detection equipment main body and used for applying external force to the inner flange of the hub bearing to be detected and the inner flange of the hub bearing with zero initial clearance;
the position measuring device is used for detecting the displacement of the hub bearing inner ring to be measured and the displacement of the hub bearing inner ring with zero initial clearance; and the number of the first and second groups,
a control device for the negative clearance of the hub bearing, fixedly arranged on the detecting device body, and electrically connected with the detecting device body, the loading device and the position measuring device, wherein the control device for the negative clearance of the hub bearing is the control device for the negative clearance of the hub bearing according to claim 3.
Optionally, the position measuring device includes a displacement sensor configured to detect a displacement amount of the inner ring of the hub bearing to be measured and a displacement amount of the inner ring of the hub bearing with zero initial play.
Optionally, the loading device is an electric or hydraulic cylinder.
In the technical scheme of the invention, based on the Hertz contact theory and the specific structural parameters of the hub bearing product, the negative clearance value is calculated according to the relationship among the applied external force, the displacement of the inner ring of the hub bearing to be detected and the displacement of the inner ring of the hub bearing with zero initial clearance, the detection of the negative clearance value can be carried out before the delivery of the hub bearing to be detected, the detection result can be reproduced, and the accuracy is high.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the structures shown in the drawings without creative efforts.
Fig. 1 is a schematic structural diagram of an embodiment of a hub bearing to be tested according to the present invention;
FIG. 2 is a schematic structural view of an embodiment of a hub bearing with zero initial play provided by the present invention;
FIG. 3 is a schematic flow chart illustrating a method for calculating the negative backlash of the hub bearing according to an embodiment of the present invention;
FIG. 4 is a schematic structural view of an embodiment of the apparatus for detecting a negative backlash in a hub bearing according to the present invention;
fig. 5 is a schematic structural diagram of a control device of a hardware operating environment according to the embodiment in fig. 4.
The reference numbers illustrate:
Figure BDA0002596992240000031
the implementation, functional features and advantages of the objects of the present invention will be further explained with reference to the accompanying drawings.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that, if directional indication is involved in the embodiment of the present invention, the directional indication is only used for explaining the relative positional relationship, the motion situation, and the like between the components in a certain posture, and if the certain posture is changed, the directional indication is changed accordingly.
In addition, if there is a description of "first", "second", etc. in an embodiment of the present invention, the description of "first", "second", etc. is for descriptive purposes only and is not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In addition, technical solutions between various embodiments may be combined with each other, but must be realized by a person skilled in the art, and when the technical solutions are contradictory or cannot be realized, such a combination should not be considered to exist, and is not within the protection scope of the present invention.
The negative clearance parameter is one of the key factors determining the performance of the hub bearing unit, and the reasonableness of the design and processing of the negative clearance parameter directly affects the service life of the hub bearing unit and the running safety of the whole vehicle, so that it is necessary to perform negative clearance detection on the finished product of the hub bearing unit and use the detection result as one of the indexes for judging whether the hub bearing is qualified or not. The conventional negative clearance detection on the finished product of the hub bearing unit does not have repeated detection on the same product, cannot realize the detection reproducibility, and cannot reflect the actual condition of the negative clearance of the finished product of the hub bearing because the detection is the detection before riveting.
In view of this, the present invention provides a method, an apparatus, a storage medium and a device for calculating a negative clearance of a hub bearing, which aim to improve the technical problem that the hub bearing cannot be detected online and repeatedly in real time in the prior art.
The invention provides a device for detecting the negative clearance of a hub bearing. The loading device is fixedly arranged on the detection equipment main body, and when the loading device applies external force along the axial direction of the hub bearing to the inner flange of the hub bearing 100 to be detected and the inner flange of the hub bearing 200 with zero initial clearance; the position measuring device acting on the hub bearing inner ring 101 to be measured and the hub bearing inner ring 201 with zero initial clearance detects the displacement amount of the hub bearing inner ring 101 to be measured and the displacement amount of the hub bearing inner ring 201 with zero initial clearance. The control device for the negative clearance of the hub bearing is fixedly arranged on the detection equipment main body and is electrically connected with the detection equipment main body, the loading device and the position measuring device. In the invention, the negative clearance value is calculated through the relationship among the external force value applied by the loading device along the axial direction of the hub bearing, the displacement of the inner ring 101 of the hub bearing to be tested and the displacement of the inner ring 201 of the hub bearing with zero initial clearance, the detection of the negative clearance value can be carried out before the hub bearing 100 to be tested is delivered from the factory, and the detection result can be reproduced and has high accuracy.
Further, referring to fig. 1 and 2, in order to accurately measure the displacement of the hub bearing inner ring 101 to be measured and the displacement of the hub bearing inner ring 201 with zero initial clearance, the position measuring device includes a displacement sensor, the displacement sensor is disposed on the hub bearing inner ring 101 to be measured and the hub bearing inner ring 201 with zero initial clearance and is electrically connected to the control device of the hub bearing negative clearance, and the measured displacement of the hub bearing inner ring 101 to be measured and the displacement of the hub bearing inner ring 201 with zero initial clearance are input into the control device of the hub bearing negative clearance. The measurement is real-time and the measurement result is accurate and reliable.
It should be noted that the loading device has various embodiments, and may be an electric cylinder or a hydraulic cylinder. The electric cylinder is adopted in the embodiment, the thrust can be precisely controlled by adopting the electric cylinder, and the electric cylinder has the advantages of low noise, energy conservation, cleanness, high rigidity, strong impact resistance, super long service life and simplicity in operation and maintenance.
The invention provides a control device for the negative clearance of a hub bearing, which is electrically connected with a detection device main body, a loading device and a position measuring device and is used for measuring the negative clearance value of a hub bearing 100 to be measured.
The control device for the negative backlash of the hub bearing may comprise: a processor 1001, such as a CPU, a communication bus 1002, a user interface 1003, a network interface 1004, and a memory 1005. Wherein a communication bus 1002 is used to enable connective communication between these components. The user interface 1003 may include a Display screen (Display), an input unit such as a Keyboard (Keyboard), and the optional user interface 1003 may also include a standard wired interface, a wireless interface. The network interface 1004 may optionally include a standard wired interface, a wireless interface (e.g., WI-FI interface). The memory 1005 may be a high-speed RAM memory or a non-volatile memory (e.g., a magnetic disk memory). The memory 1005 may alternatively be a storage device separate from the processor 1001.
It will be appreciated by those skilled in the art that the configuration of the control arrangement for the negative hub bearing play shown in figure 2 does not constitute a limitation of the control arrangement for the negative hub bearing play and may include more or fewer components than shown, or some components in combination, or a different arrangement of components.
As shown in fig. 5, the memory 1005, which is a kind of computer storage medium, may include therein an operating system, a network communication module, a user interface module, and a measurement program of a calculation method of the hub bearing negative backlash.
In the control device for the negative hub bearing play shown in fig. 4, the processor 1001 calls up the measurement program of the calculation method for the negative hub bearing play stored in the memory 1005, and performs the following operations:
acquiring a displacement parameter A of an inner ring 101 of the hub bearing to be tested when an external force F is applied to an inner flange of the hub bearing 100 to be testedc1
Obtaining a displacement parameter A of an inner ring 201 of the hub bearing with zero initial clearance when the external force F is applied to an inner flange of the hub bearing 200 with zero initial clearancec02
According to F, Ac1And Ac02And calculating to obtain the negative clearance value of the hub bearing 100 to be measured.
Further, the processor 1001 calls the measurement program of the calculation method of the hub bearing negative backlash stored in the memory 1005, and also performs the following operations:
the negative clearance value of the hub bearing 100 to be measured is:
Figure BDA0002596992240000061
in the formula, the Sigma rho is a curvature function of the steel ball contact, the E is a comprehensive parameter of the Poisson's ratio and the elastic modulus of the bearing material, the alpha is a steel ball contact angle,*is a point contact ellipse integral parameter, and n is the number of steel balls.
Based on the hardware structure, the invention provides a method for calculating the negative clearance of the hub bearing, which calculates the negative clearance value according to the relationship among the applied external force value, the displacement parameter of the inner ring 101 of the hub bearing to be measured and the displacement parameter of the inner ring 201 of the hub bearing with zero initial clearance.
Referring to fig. 3, fig. 3 is a schematic flow chart of a method for calculating a negative backlash of a hub bearing according to an embodiment of the present invention.
S10: the inner flange of the hub bearing 100 to be tested is obtainedWhen the external force is F, the displacement parameter A of the inner ring 101 of the hub bearing to be testedc1
S20: obtaining a displacement parameter A of an inner ring 201 of the hub bearing with zero initial clearance when the external force F is applied to an inner flange of the hub bearing 200 with zero initial clearancec02
S30: according to F, Ac1And Ac02And calculating to obtain the negative clearance value of the hub bearing 100 to be measured.
In the present embodiment, based on the hertz's contact theory, the negative clearance value is calculated from the relationship among the applied external force, the displacement of the inner ring 101 of the hub bearing to be measured, and the displacement of the inner ring 201 of the hub bearing with zero initial clearance, based on the specific structural parameters of the hub bearing product, and the detection of the negative clearance value can be performed before the shipment of the hub bearing 100 to be measured, and the detection result can be reproduced with high accuracy.
In the present embodiment, the calculation process of the negative clearance value of the hub bearing 100 to be measured is as follows:
the loading device loads external force on the hub bearing 100 to be tested, the deformation of the inner and outer rings, the flange and the assembly part in the loading process is Ab1, the total displacement measured by the position measuring device is Ac1, and the Hertz deformation Am of the contact part of the bearing steel ball is as follows: ac1-Ab 1. The negative play of the hub bearing to be tested is that the deformation of the upper row of bearings and the deformation of the lower row of bearings are/2 before loading, and the lower row of bearings are stressed by F1 and the upper row of bearings are stressed by F2 after external force F is applied.
The axial deformation of two rows of steel balls on the upper and lower rows of the bearing is respectively as follows:
Figure BDA0002596992240000071
Figure BDA0002596992240000072
Am=Am1+Am2
where, Σ ρ is the curvature function of the steel ball contact, E is the comprehensive parameter of the poisson's ratio and elastic modulus of the bearing material, α is the steel ball contact angle,*is point contact elliptic integralAnd n is the number of the steel balls. These five are all determined by bearing structure parameters, and the values of these five are constant for a given structure of the hub bearing. The equations (1) and (2) are modified to obtain:
Figure BDA0002596992240000081
Figure BDA0002596992240000082
when the steel balls in the upper row are not completely pushed loose, the steel balls in the lower row are compressed by a certain amount, and the steel balls in the upper row are loosened by a certain amount. There is therefore:
Am1=Am2(5)
dividing equations (3) and (4) by:
Figure BDA0002596992240000083
when the bearing is subjected to a load F in the lower direction, the following force balance relationship exists:
Figure BDA0002596992240000084
simultaneous equations (6) and (7), one can obtain:
Figure BDA0002596992240000085
substituting the formula (8) into the formula (4), and finishing to obtain the formula (9):
Figure BDA0002596992240000086
here, ρ can be consideredInner 2=ρOuter 2Let its value be ρ, the above equation can be simplified as:
Figure BDA0002596992240000091
further modification of equation (10) yields:
Figure BDA0002596992240000092
the taylor expansion (expansion to third order) is performed on two terms inside the left square bracket of the formula (11) respectively, and can be obtained as follows:
Figure BDA0002596992240000093
since the bearing is not completely loosened, it is possible to prevent the bearing from being completely loosened
Figure BDA0002596992240000094
When in use
Figure BDA0002596992240000095
When, compare two terms in parentheses in the right side of equation (12):
Figure BDA0002596992240000096
thus, the cubic term in parentheses in the right-hand right side of formula (12) may be truncated and then
After finishing, the following can be obtained:
Figure BDA0002596992240000097
bringing Am ═ Ac1-Ab1 into formula (15), and finishing to obtain:
Figure BDA0002596992240000101
the loading device loads external force on the hub bearing 200 with zero initial clearance, the deformation of the inner and outer rings, the flange and the assembly part in the loading process is Ab02, the total displacement measured by the position measuring device is Ac02, and the Hertz deformation Am02 of the contact part of the bearing steel ball is as follows: ac02-Ab 02. The hub bearing with zero initial play is also loaded with F, the steel balls of which deform to (the hub bearing with zero initial play has only the following steel balls):
Figure BDA0002596992240000102
as with the negative lash case, consider ρInner 2=ρOuter 2Let its value be ρ, equation (17) can be simplified as:
Figure BDA0002596992240000103
under the condition that the loading force F is the same, the deformation of the parts (the inner and outer rings, the flange and the assembly part) of the hub bearing with zero initial clearance and the hub bearing to be tested except the steel ball is considered to be equal, namely:
Ab1=Ab02(19)
and obtaining a negative clearance calculation formula. In conjunction with equation (19), subtracting equations (16) and (18) yields equation (20):
Figure BDA0002596992240000104
by means of the formula (20), the bearing negative clearance value is as follows:
Figure BDA0002596992240000111
in the present embodiment, the calculation procedures are stored in the memory 1005, and the processor 1001 calls the measurement program of the calculation method of the hub bearing negative backlash stored in the memory 1005 to execute the calculation procedures, so as to obtain the loading force F and the displacement parameter a of the inner ring 101 of the hub bearing to be measuredc1And a displacement parameter A of the inner ring 201 of the hub bearing with zero initial playc02Then, the negative clearance value of the hub bearing to be measured can be directly read.
The above description is only a preferred embodiment of the present invention, and not intended to limit the scope of the present invention, and all modifications and equivalents made by the contents of the present specification and drawings, or directly/indirectly applied to other related technical fields, are included in the scope of the present invention.

Claims (7)

1. A method for calculating the negative clearance of a hub bearing is characterized by comprising the following steps:
obtaining a displacement parameter A of an inner ring of the hub bearing to be tested when an external force F is applied to an inner flange of the hub bearing to be testedc1
Obtaining a displacement parameter A of an inner ring of the hub bearing with zero initial clearance when the external force F is applied to an inner flange of the hub bearing with zero initial clearancec02
According to F, Ac1And Ac02And calculating to obtain the negative clearance value of the hub bearing to be measured.
2. The method of calculating the negative backlash of the hub bearing according to claim 1, wherein the negative backlash value of the hub bearing under test is:
Figure FDA0002596992230000011
in the formula, the Sigma rho is a curvature function of the steel ball contact, the E is a comprehensive parameter of the Poisson's ratio and the elastic modulus of the bearing material, the alpha is a steel ball contact angle,*is a point contact ellipse integral parameter, and n is the number of steel balls.
3. A control device for the negative clearance of a hub bearing, comprising a memory, a processor, and a measuring program of a calculation method for the negative clearance of a hub bearing stored on the memory and operable on the processor, the measuring program of the calculation method for the negative clearance of a hub bearing being configured to implement the steps of the calculation method for the negative clearance of a hub bearing according to any one of claims 1 to 2.
4. A storage medium, characterized in that the storage medium has stored thereon a measuring program of a method of calculating a negative hub-bearing play, which when executed by a processor implements the steps of the method of calculating a negative hub-bearing play according to any one of claims 1 to 2.
5. A hub bearing negative backlash detection device, comprising:
detecting an apparatus main body;
the loading device is fixedly arranged on the detection equipment main body and is used for applying external force to the inner flange of the hub bearing to be detected and the inner flange of the hub bearing with zero initial clearance;
the position measuring device is used for detecting the displacement of the hub bearing inner ring to be measured and the displacement of the hub bearing inner ring with zero initial clearance; and the number of the first and second groups,
a control device for the negative clearance of the hub bearing, fixedly arranged on the detecting device body, and electrically connected with the detecting device body, the loading device and the position measuring device, wherein the control device for the negative clearance of the hub bearing is the control device for the negative clearance of the hub bearing according to claim 3.
6. The apparatus for detecting a negative play of a hub bearing according to claim 5, wherein the position measuring device includes a displacement sensor for detecting a displacement amount of the inner ring of the hub bearing under test and a displacement amount of the inner ring of the hub bearing with the initial play being zero.
7. The apparatus for detecting negative backlash in a hub bearing according to claim 5, wherein said loading device is an electric cylinder or a hydraulic cylinder.
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毛宇泽: "负游隙对高速高温薄壁圆柱滚子轴承动态性能的影响分析", 《航空动力学报》 *
陈国桢等: "特大型负游隙四点接触球轴承接触应力分析", 《机械传动》 *

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Publication number Priority date Publication date Assignee Title
CN114562947A (en) * 2022-01-26 2022-05-31 人本股份有限公司 Maintenance-free hub bearing's negative play check out test set
CN114562947B (en) * 2022-01-26 2023-10-20 人本股份有限公司 Maintenance-free hub bearing negative clearance detection equipment

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